Team:Oxford/how much can we degrade
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<li>K_W = ionic product of water, 10^(-14)</li> | <li>K_W = ionic product of water, 10^(-14)</li> | ||
<li>C_i = concentration of component buffer i</li> | <li>C_i = concentration of component buffer i</li> | ||
+ | <br><br> | ||
+ | Taking the reciprocal, and substituting the definition: <h1>(1.10)</h1> | ||
+ | <img src="https://static.igem.org/mediawiki/2014/7/7b/Oxford_Jack_eqn10.png" style="float:left;position:relative; width:15%; margin-left:0%; margin-right:85%;margin-bottom:2%;" /> | ||
+ | |||
+ | gives: <h1>(1.11)</h1> | ||
+ | |||
+ | <img src="https://static.igem.org/mediawiki/2014/e/e2/Oxford_Jack_eqn11.png" style="float:left;position:relative; width:50%; margin-left:0%; margin-right:50%;margin-bottom:2%;" /> | ||
+ | |||
+ | <h1>(1.12)</h1> | ||
+ | <img src="https://static.igem.org/mediawiki/2014/d/d8/Oxford_Jack_eqn12.png" style="float:left;position:relative; width:50%; margin-left:0%; margin-right:50%;margin-bottom:2%;" /> | ||
+ | |||
+ | For a single buffer system: | ||
+ | <br><br> | ||
+ | <img src="https://static.igem.org/mediawiki/2014/8/82/Oxford_Jack_eqn13.png" style="float:left;position:relative; width:25%; margin-left:0%; margin-right:75%;margin-bottom:2%;" /> | ||
+ | |||
+ | Numerically solving this ODE in MATLAB, for pH(n, C) and hence pH(t, C) gives: | ||
Line 795: | Line 811: | ||
<br><br> | <br><br> | ||
<img src="https://static.igem.org/mediawiki/2014/7/76/Oxford_DCMdeg17.png" style="float:left;position:relative; width:100%; margin-left:0%; margin-right:0%;margin-bottom:2%;" /> | <img src="https://static.igem.org/mediawiki/2014/7/76/Oxford_DCMdeg17.png" style="float:left;position:relative; width:100%; margin-left:0%; margin-right:0%;margin-bottom:2%;" /> | ||
+ | |||
+ | |||
+ | where the red line is C=0M. | ||
+ | |||
+ | <br><br> | ||
+ | Derivation shown is based on Adam Hulanicki book Reakcje kwasów i zasad w chemii analitycznej, 2nd ed., PWN, Warszawa 1980 (English edition: Reactions of acids and bases in analytical chemistry; Chichester, West Sussex, England: E. Horwood; New York: Halsted Press, 1987). | ||
+ | <br><br> | ||
Another possibility of reducing the overall pH change is adding a lot more water to the system. This is the easier method and could be used for single-use DCM disposal kits. However, it is impractical in large scale applications because of the very large amount of water that would have to be added. | Another possibility of reducing the overall pH change is adding a lot more water to the system. This is the easier method and could be used for single-use DCM disposal kits. However, it is impractical in large scale applications because of the very large amount of water that would have to be added. | ||
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